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Finding the Third Proportional to 182,199 and 384,204

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Solution

The third proportional to 182,199 and 384,204 is: 810,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,199 : 384,204 = 384,204 : x
  2. Step 2: Convert to fraction form
    182,199/384,204 = 384,204/x
  3. Step 3: Cross multiply
    182,199x = 384,204 × 384,204
  4. Step 4: Simplify right side
    182,199x = 147,612,713,616
  5. Step 5: Solve for x
    x = 147,612,713,616/182,199
  6. Step 6: Final answer
    x = 810,173.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.